Information on Result #639694
Linear OA(8146, 172, F8, 92) (dual of [172, 26, 93]-code), using concatenation of two codes based on
- linear OA(6430, 43, F64, 30) (dual of [43, 13, 31]-code or 43-arc in PG(29,64)), using
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using
- Reed–Solomon code RS(34,64) [i]
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using
- linear OA(82, 4, F8, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,8)), using
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8146, 172, F8, 91) (dual of [172, 26, 92]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8145, 171, F8, 91) (dual of [171, 26, 92]-code) | [i] | Truncation | |
| 3 | Linear OA(8144, 170, F8, 90) (dual of [170, 26, 91]-code) | [i] | ||
| 4 | Linear OA(8143, 169, F8, 89) (dual of [169, 26, 90]-code) | [i] | ||
| 5 | Linear OA(8141, 167, F8, 87) (dual of [167, 26, 88]-code) | [i] | ||
| 6 | Linear OOA(8146, 86, F8, 2, 92) (dual of [(86, 2), 26, 93]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(8146, 57, F8, 3, 92) (dual of [(57, 3), 25, 93]-NRT-code) | [i] | ||